Homotopy Theory of Higher Categories: THE MODEL STRUCTURE
By Carlos Simpson. 2010
117 citations recorded by the source corpus.
This is the first draft of a book about higher categories approached by iterating Segal's method, as in Tamsamani's definition of $n$-nerve and Pelissier's thesis. If $M$ is a tractable left proper cartesian model category, we construct a tractable left proper cartesian model structure on the category of $M$-precategories. The procedure can then be iterated, leading to model categories of $(\infty , n)$-categories.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/cc321d910c89278ac7f1226200ba45a5ada0950a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Bertrand Toën
- Tobias Dyckerhoff
- Jacob Lurie
- Clark Barwick
- Gonçalo Tabuada
- Julia E. Bergner
- M. Kapranov
- D. Nadler
In Geometry and Topology
- Bertrand Toën
- Tobias Dyckerhoff
- Jacob Lurie
- Clark Barwick
- Gonçalo Tabuada
- D. Nadler
- David Ben-Zvi
- Julia E. Bergner
In Mathematical Physics
- Bertrand Toën
- Tobias Dyckerhoff
- Jacob Lurie
- Clark Barwick
- Gonçalo Tabuada
- D. Nadler
- David Ben-Zvi
- Julia E. Bergner
Citations in the corpus
- Derived Algebraic Geometry (2014, background): “It also had the effect of bringing the model category language in the setting of higher category theory (see [122]): it is interesting to note that most, if not all, of the established theory of higher categories are based on the same idea and rely in an essential way on model category theory ([123]”